## Basic College Mathematics (9th Edition)

Total Area of the Shape: 198 m$^{2}$
To find the area of the shape we simply find the area of the triangle and sum it with the area of the square. Area of a Square: $A$$_{square} = s$$^{2}$ Therefore: $A$$_{square} = (12 m)^{2} A$$_{square}$ = 144 m$^{2}$ Area of a Triangle: $A$$_{tri} = \frac{1}{2}$$b$$h Therefore: A$$_{tri}$ =$\frac{1}{2}$(12 m)(9 m) $A$$_{tri} = 54 m^{2} A$$_{total}$ = $A$$_{square} + A$$_{tri}$ Therefore: $A$$_{total} = 144 m^{2} + 54 m^{2} A$$_{total}$ = 198 m$^{2}$